Exactly one activity:
246None of the activities :
1At least one activity:
74Snowboarding and Ice skating but not skiing:
5Snowboarding or ice skating but not skiing:
132.
Only skiing :
119.
The diagram is in the attachment.
Well, first of all, the first statement (ABC = ADC) looks like it just says
that the two halves of the little square ... each side of the diagonal ...
are congruent. That's no big deal, and it's no help in answering the
question.
The effect of the dilation is that all the DIMENSIONS of the square
are doubled ... each side of the square becomes twice as long.
Then, when you multiply (length x width) to get the area, you'd have
Area = (2 x original length) x (2 x original width)
and that's
the same as (2 x 2) x (original length x original width)
= (4) x (original area) .
Here's an easy, useful factoid to memorize:
-- Dilate a line (1 dimension) by 'x' times . . . multiply the length by x¹
-- Dilate a shape (2 dimensions) by 'x' . . . multiply area by x²
-- Dilate a solid (3 dimensions) by 'x' . . . multiply volume by x³
And that's all the dimensions we have in our world.
_______________________________
Oh, BTW . . .
-- Dilate a point (0 dimensions) by 'x' . . . multiply it by x⁰ (1)
We write this like this:
49=35%x
and we want to find the x.
let's invert the sides:
35%x=49.
35 is equal to 0.35
0.35*x=49
and now we only divide both sides by 0.35:
x=140
so the answer is 140.
(aternatively we can do it through fractions:
35/100*x=49
divide both sides by 7:
5/100*x=7
simplify the first fraction
1/20*x=7
and multiply by 20:
x=140
<h2>Greetings!</h2>
A)
<h3>If you can see, every 4 minutes the amount of water is increasing at a constant rate. </h3>
197 - 153 = 44
285 - 241 = 44
<h3>This means that at 8 minutes, because there is 153 gallons already in, we can divide 8 by 4 to see how many groups of 4 minutes there were. </h3>
8 ÷ 4 = 2
So then we can subtract two lots of 44 from 153:
153 - (44 x 2) = 65
<h3>So the starting amount was 65.</h3>
B)
<h3>The answer to B is the second option, because it is true that the amount of water is increasing. This is by 44 gallons per 4 minutes.</h3>
The amount of gallons per minute can be found out by dividing the amount by 4:
44 ÷ 4 = 11
<h3>So it is 11 gallons per minute.</h3>
<h2>Hope this helps!</h2>
Answer:
The sales level that has only a 3% chance of being exceeded next year is $3.67 million.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
In millions of dollars,
Determine the sales level that has only a 3% chance of being exceeded next year.
This is the 100 - 3 = 97th percentile, which is X when Z has a pvalue of 0.97. So X when Z = 1.88.
The sales level that has only a 3% chance of being exceeded next year is $3.67 million.
